1006345410 has 64 divisors (see below), whose sum is σ = 2827609344. Its totient is φ = 224409600.

The previous prime is 1006345391. The next prime is 1006345411. The reversal of 1006345410 is 145436001.

It is not an unprimeable number, because it can be changed into a prime (1006345411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49831 + ... + 67050.

It is an arithmetic number, because the mean of its divisors is an integer number (44181396).

Almost surely, 2^1006345410 is an apocalyptic number.

1006345410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1006345410 is an abundant number, since it is smaller than the sum of its proper divisors (1821263934).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1006345410 is a wasteful number, since it uses less digits than its factorization.

1006345410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116939.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1006345410 is about 31722.9476877544. The cubic root of 1006345410 is about 1002.1106785683.

The spelling of 1006345410 in words is "one billion, six million, three hundred forty-five thousand, four hundred ten".